import java.math.*;
import java.util.*;

/**
 * This program uses big numbers to compute the odds of winning the grand prize
 * in a lottery.
 * 
 * @version 1.20 2004-02-10
 * @author Cay Horstmann
 */
public class BigIntegerTest {
	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);

		System.out.print("How many numbers do you need to draw? ");
		int k = in.nextInt();

		System.out.print("What is the highest number you can draw? ");
		int n = in.nextInt();

		/*
		 * compute binomial coefficient n*(n-1)*(n-2)*...*(n-k+1)/(1*2*3*...*k)
		 */

		BigInteger lotteryOdds = BigInteger.valueOf(1);

		for (int i = 1; i <= k; i++)
			lotteryOdds = lotteryOdds.multiply(BigInteger.valueOf(n - i + 1))
					.divide(BigInteger.valueOf(i));

		System.out
				.println("Your odds are 1 in " + lotteryOdds + ". Good luck!");
	}
}
